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Simplifying 0.075x2 + 4x + 1000 = 0 Reorder the terms: 1000 + 4x + 0.075x2 = 0 Solving 1000 + 4x + 0.075x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.075 the coefficient of the squared term: Divide each side by '0.075'. 13333.33333 + 53.33333333x + x2 = 0 Move the constant term to the right: Add '-13333.33333' to each side of the equation. 13333.33333 + 53.33333333x + -13333.33333 + x2 = 0 + -13333.33333 Reorder the terms: 13333.33333 + -13333.33333 + 53.33333333x + x2 = 0 + -13333.33333 Combine like terms: 13333.33333 + -13333.33333 = 0.00000 0.00000 + 53.33333333x + x2 = 0 + -13333.33333 53.33333333x + x2 = 0 + -13333.33333 Combine like terms: 0 + -13333.33333 = -13333.33333 53.33333333x + x2 = -13333.33333 The x term is 53.33333333x. Take half its coefficient (26.66666667). Square it (711.1111113) and add it to both sides. Add '711.1111113' to each side of the equation. 53.33333333x + 711.1111113 + x2 = -13333.33333 + 711.1111113 Reorder the terms: 711.1111113 + 53.33333333x + x2 = -13333.33333 + 711.1111113 Combine like terms: -13333.33333 + 711.1111113 = -12622.2222187 711.1111113 + 53.33333333x + x2 = -12622.2222187 Factor a perfect square on the left side: (x + 26.66666667)(x + 26.66666667) = -12622.2222187 Can't calculate square root of the right side. The solution to this equation could not be determined.
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